1072080 has 60 divisors (see below), whose sum is σ = 3602820. Its totient is φ = 285696.

The previous prime is 1072039. The next prime is 1072103. The reversal of 1072080 is 802701.

It can be written as a sum of positive squares in 2 ways, for example, as 304704 + 767376 = 552^2 + 876^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×1072080² = 2298711052800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25 + ... + 1464.

It is an arithmetic number, because the mean of its divisors is an integer number (60047).

2^1072080 is an apocalyptic number.

1072080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1072080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1801410).

1072080 is an abundant number, since it is smaller than the sum of its proper divisors (2530740).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1072080 is a wasteful number, since it uses less digits than its factorization.

1072080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 1072080 is about 1035.4129610933. The cubic root of 1072080 is about 102.3471447605.

Adding to 1072080 its reverse (802701), we get a palindrome (1874781).

It can be divided in two parts, 107 and 2080, that added together give a 7-th power (2187 = 3⁷).

The spelling of 1072080 in words is "one million, seventy-two thousand, eighty".